3121214144 has 56 divisors (see below), whose sum is σ = 6581046528. Its totient is φ = 1463644160.

The previous prime is 3121214123. The next prime is 3121214147. The reversal of 3121214144 is 4414121213.

It is not an unprimeable number, because it can be changed into a prime (3121214147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313889 + ... + 323679.

It is an arithmetic number, because the mean of its divisors is an integer number (117518688).

Almost surely, 2^3121214144 is an apocalyptic number.

3121214144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290523264).

3121214144 is an abundant number, since it is smaller than the sum of its proper divisors (3459832384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3121214144 is a wasteful number, since it uses less digits than its factorization.

3121214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113 (or 10103 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 3121214144 is about 55867.8274501524. The cubic root of 3121214144 is about 1461.4182353245.

Adding to 3121214144 its reverse (4414121213), we get a palindrome (7535335357).

The spelling of 3121214144 in words is "three billion, one hundred twenty-one million, two hundred fourteen thousand, one hundred forty-four".